Cycles, phase synchronization, and entrainment in single-species phytoplankton populations

Proceedings of the National Academy of Sciences of the United States of America

Volumn 107, Issue 9, 2010, Pages 4236-4241

  Massie, Thomas M ^a   Blasius, Bernd ^b   Weithoff, Guntram ^a   Gaedke, Ursula ^a   Fussmann, Gregor F ^c  

^a UNIVERSITY OF POTSDAM   (Germany)

^b UNIVERSITY OF OLDENBURG   (Germany)

^c MCGILL UNIVERSITY   (Canada)

Author keywords

Cell cycle; Chemostat; Chlorella vulgaris; Kuramoto model; Population cycles

Indexed keywords

ARTICLE; CELL CYCLE; CELL INTERACTION; CELL SIZE; CELL SYNCHRONIZATION; MATHEMATICAL MODEL; NONHUMAN; NUTRIENT AVAILABILITY; OSCILLATION; PHYTOPLANKTON; POPULATION CYCLE; POPULATION DYNAMICS; PRIORITY JOURNAL;

CELL CYCLE; PHYTOPLANKTON;

CHLORELLA VULGARIS;

EID: 77749279792     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0908725107     Document Type: Article

References (36)

1. Strogatz S (2003) Sync: The Emerging Science of Spontaneous Order (Hyperion, New York).
2. Pikovsky A, Rosenblum M, Kurths J (2001) Synchronization - A Universal Concept in Nonlinear Sciences (Cambridge Univ Press, Cambridge, UK).
3. Winfree AT (2001) On emerging coherence. Science 298:2336-2337.
4. Taylor AF, Tinsley MR, Wang F, Huang Z, Showalter K (2009) Dynamical quorum sensing and synchronization in large populations of chemical oscillators. Science 323: 614-617.
5. Buck J (1988) Synchronous rhythmic flashing of fireflies. Q Rev Biol 63:265-289.
6. Neda Z, Ravasz E, Brechet Y, Vicsek T, Barabasi AL (2000) The sound of many hands clapping-tumultuous applause can transform itself into waves of synchronized clapping. Nature 403:849-850.
7. De Roos AM, Diekmann O, Metz JAJ (1992) Studying the dynamics of structured population models - a versatile technique and its application to Daphnia. Am Nat 139:123-147.
8. Kendall BE, et al. (1999) Why do populations cycle? A synthesis of statistical and mechanistic modeling approaches. Ecology 80:1789-1805.
9. McCauley E, Nelson WA, Nisbet RM (2008) Small-amplitude cycles emerge from stage-structured interactions in Daphnia-algal systems. Nature 455:1240-1243.
10. Blasius B, Huppert A, Stone L (1999) Complex dynamics and phase synchronization in spatially extended ecological systems. Nature 399:354-359.
11. Fussmann GF, Ellner SP, Shertzer KW, Hairston NG, Jr (2000) Crossing the Hopf bifurcation in a live predator-prey system. Science 290:1358-1360.
12. Becks L, Hilker FM, Malchow H, Jürgens K, Arndt H (2005) Experimental demonstration of chaos in a microbial food web. Nature 435:1226-1229.
13. Vasseur DA, Fox JW (2009) Phase-locking and environmental fluctuations generate synchrony in a predator-prey community. Nature 460:1007-1010.
14. Costantino RF, Desharnais RA, Cushing JM, Dennis B (1997) Chaotic dynamics in an insect population. Science 275:389-391.
15. Balagaddé FK, You LC, Hansen CL, Arnold FH, Quake SR (2005) Long-term monitoring of bacteria undergoing programmed population control in a microchemostat. Science 309:137-140.
16. Murdoch WW, et al. (2002) Single-species models for many-species food webs. Nature 417:541-543.
17. Haddad NM, Tilman D, Knops JMH (2002) Long-term oscillations in grassland productivity induced by drought. Ecol Lett 5:110-120.
18. Manderson JP (2008) The spatial scale of phase synchrony in winter flounder (Pseudopleuronectes americanus) production increased among southern New England nurseries in the 1990s. Can J Fish Aquat Sci 65:340-351.
19. Kuramoto Y (1984) Chemical Oscillations, Waves, and Turbulence (Springer, Berlin).
20. Walz N, Hintze T, Rusche R (1997) Algae and rotifer turbidostats: Studies on stability of live feed cultures. Hydrobiologia 358:127-132.
21. Pascual M, Caswell H (1997) From the cell cycle to population cycles in phytoplankton-nutrient interactions. Ecology 78:897-912.
22. Lemesle V, Gouzé JL (2008) A simple unforced oscillatory growth model in the chemostat. Bull Math Biol 70:344-357.
23. Beck F, Blasius B, Lüttge U, Neff R, Rascher U (2001) Stochastic noise interferes coherently with a model biological clock and produces specific dynamic behaviour. Proc R Soc Lond B Biol Sci 268:1307-1313.
24. Goto K, Johnson CH (1995) Is the cell division cycle gated by a circadian clock? The case of Chlamydomonas reinhardtii. J Cell Biol 129:1061-1069.
25. Strogatz SH (2000) From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 143:1-20.
26. Acebro JA, Bonilla LL, Péres Vicente CJ, Ritort F, Spigler R (2005) The Kuramoto model: A simple paradigm for synchronization phenomena. Rev Mod Phys 77:137-185.
27. Mainen ZF, Sejnowski TJ (1995) Reliability of spike timing in neocortical neurons. Science 268:1503-1506.
28. Strogatz SH, Mirollo RE, Matthews PC (1992) Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping. Phys Rev Lett 68:2730-2733.
29. Montbrio E, Kurths J, Blasius B (2004) Synchronization of two interacting populations of oscillators. Phys Rev E Stat Nonlin Soft Matter Phys 70:056125.
30. Vaulot D, Olson RJ, Merkel S, Chisholm SW (1987) Cell-cycle response to nutrient starvation in two phytoplankton species, Thalassosira weissflogii and Hymenomonas carterae. Mar Biol 95:625-630.
31. De Monte S, d'Ovidio F, Danø S, Sørensen PG (2007) Dynamical quorum sensing: Population density encoded in cellular dynamics. Proc Natl Acad Sci USA 104:18377-18381.
32. Martegani E, Porro D, Ranzi BM, Alberghina L (1990) Involvement of a cell size control mechanism in the induction and maintenance of oscillations in continuous cultures of budding yeast. Biotechnol Bioeng 36:453-459.
33. Münch T, Sonnleitner B, Fiechter A (1992) The decisive role of the Saccharomyces cerevisiae cell cycle behaviour for dynamic growth characterization. J Biotechnol 22:329-352.
34. Murdoch WW, Briggs CJ, Nisbet RM (2003) Consumer-Resource Dynamics (Princeton Univ Press, Princeton, NJ).
35. Turchin P (2003) Complex Population Dynamics (Princeton Univ Press, Princeton, NJ).
36. Guillard RR, Lorenzen CJ (1972) Yellow-green algae with chlorophyllide c. J Phycol 8: 10-14.